3.12 = 3 4/33 (<span>3.12 repeating)</span>
hope it helps
<h3>
Answer: x = 4</h3>
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Explanation:
Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.
(interior angle C) + (interior angle D) = exterior angle
(46) + (-1+8x) = 18x+5
8x+45 = 18x+5
8x-18x = 5-45
-10x = -40
x = -40/(-10)
x = 4
Answer:
The Z-score for that day's temperature is 2.41, and since Z > 2, this temperature is significantly high.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
If
, the measure X is significantly high(Z > 2) or significantly low(Z < -2).
The mean high temperature on a particular day in January is 31 degrees F and the standard deviation is 8.7 degrees.
This means that 
One year, the temperature was 52 degrees F on that day.
This means that
.
What is the Z-score for that day's temperature?



The Z-score for that day's temperature is 2.41, and since Z > 2, this temperature is significantly high.
Answer:
22.8
Step-by-step explanation:
the rectangular has :
the length CD =√[(3+3)²+(0-5)²]
= √(36+25) = √61 = 7.8
the width BC =√[(5-3)²+(3-0)²]
=√(4+9 =√13 = 3.6
so, the perimeter = 2(7.8 + 3.6)
= 2× 11.4 = 22.8